I recently had torn the rubber wiring of my headphones, thankfully there was no internal damage done,and they still function as if before, but the internal wire parts have been exposed.

Thanks to a broken headphone jack area on my computer, I am required to constantly pull on my headphone wire to get sound in both ears. I am worried that if I do use them to get both ear parts working, I will cause further damage to the headphones.

Is there any way for me to fix this issue?